The structure of the atomic helium trimers: halos and Efimov states

作者: E Nielsen , D V Fedorov , A S Jensen

DOI: 10.1088/0953-4075/31/18/008

关键词: TrimerPhysicsSimple (abstract algebra)Ground stateHaloStructure (category theory)Quantum mechanicsComputationBound stateFaddeev equations

摘要: The Faddeev equations for the atomic helium-trimer systems are solved numerically with high accuracy both most sophisticated realistic potentials available and simple phenomenological potentials. An efficient numerical procedure is described. large-distance asymptotic behaviour, crucial weakly bound three-body systems, described almost analytically arbitrary Efimov effect especially considered. geometric structures of states quantitatively investigated. schematic models previous computations comparable, i.e. within 20% spatially extended 40% smaller -trimer ground state.

参考文章(38)
J. Raynal, J. Revai, Transformation coefficients in the hyperspherical approach to the three-body problem Nuovo Cimento Della Societa Italiana Di Fisica A-nuclei Particles and Fields. ,vol. 68, pp. 612- 622 ,(1970) , 10.1007/BF02756127
Ludvig Faddeev, S.P. Merkuriev, Quantum Scattering Theory for Several Particle Systems ,(1993)
I︠u︡. N. Demkov, V. N. Ostrovskiĭ, Zero-range potentials and their applications in atomic physics ,(1988)
V.N. Efimov, WEAKLY-BOUND STATES OF 3 RESONANTLY-INTERACTING PARTICLES Sov.J.Nucl.Phys.. ,vol. 12, pp. 589- ,(1971)
I. Ro/eggen, J. Almlöf, AN ACCURATE CALCULATION OF THE THREE-BODY POTENTIAL FOR THE GROUND STATE OF THE HELIUM TRIMER Journal of Chemical Physics. ,vol. 102, pp. 7095- 7105 ,(1995) , 10.1063/1.469103
A. S. Jensen, E. Garrido, D. V. Fedorov, Three-Body Systems with Square-Well Potentials in L = 0 States Few-body Systems. ,vol. 22, pp. 193- 237 ,(1997) , 10.1007/S006010050060
Jean-Marc Richard, Sonia Fleck, Limits on the domain of coupling constants for binding N-body systems with no bound subsystems. Physical Review Letters. ,vol. 73, pp. 1464- 1467 ,(1994) , 10.1103/PHYSREVLETT.73.1464
D. V. Fedorov, A. S. Jensen, K. Riisager, Three-body halos: Gross properties. Physical Review C. ,vol. 49, pp. 201- 212 ,(1994) , 10.1103/PHYSREVC.49.201